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Finding the Fourth Proportional to 127.35, 176.22 and 108.65

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Solution

The fourth proportional to 127.35, 176.22 and 108.65 is: 150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.35 : 176.22 = 108.65 : x
  2. Step 2: Convert to fraction form
    127.35/176.22 = 108.65/x
  3. Step 3: Cross multiply
    127.35x = 176.22 × 108.65
  4. Step 4: Simplify right side
    127.35x = 19,145.75
  5. Step 5: Solve for x
    x = 19,145.75/127.35
  6. Step 6: Final answer
    x = 150.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.